Finding the Fourth Proportional to 105.29, 157.88 and 59.69

Step by Step Solution

1. Step 1: Write the proportion equation
   105.29 : 157.88 = 59.69 : x
2. Step 2: Convert to fraction form
   105.29/157.88 = 59.69/x
3. Step 3: Cross multiply
   105.29x = 157.88 × 59.69
4. Step 4: Simplify right side
   105.29x = 9,423.86
5. Step 5: Solve for x
   x = 9,423.86/105.29
6. Step 6: Final answer
   x = 89.50